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Use of Exponents to Express Small Numbers in Standard Form

Observe the following facts :

 

The velocity of light 298820000000000 cm/sec.

The distance from the Earth to the Moon is 239,000 miles.

Atoms are very tiny about 100,000 million atoms fit on this full stop.

The sea contains about 11,600,000,000 tons of salt.

Mass of an electron 9.0 × 10 -33 gms

Velocity of sound = 332 m/sec

 

There are some large numbers 280,000,000,000 m and very small numbers like 0.000005 m.

Now, we study how to express very large numbers in standard form 280,000,000,000 = 2.8 × 1011

 

Note :

When the decimal point moves towards right the powers are negative.

When the decimal point moves towards left the powers are positive.

 

To express 0.000005 m in standard form


 

Consider the thickness of a scale is 0.026 cm

 

Thickness of a scale is

 





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